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Statistics & Probability

SequencesLessonsMaterialsVideos
  1. Math

Statistics & Probability

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

Data representation, distributions, and statistical variability using sampling and inference techniques. Integrates probability models, compound events, bivariate patterns, and linear models to guide data-driven decision making.

MathNumbers & CountingCounting ObjectsNumber NamesComparing NumbersNumber OperationsCounting SequenceNumbers 0-10Place Value Understanding and SystemAdd and Subtract Within 20Addition and Subtraction ConceptsAddition and Subtraction EquationsAddition and Subtraction ProblemsFoundations for MultiplicationMultiplication and Division PropertiesMultiply and Divide Within 100Multiplication and Division ProblemsFactors and MultiplesProperties of OperationsPatterns and RelationshipsGenerate and Analyze PatternsMulti-Digit ArithmeticPlace Value OperationsMulti-Digit and Decimal OperationsNumerical ExpressionsFour Operations and PatternsFour Operations Problem SolvingMeasurement & DataMeasurable AttributesMeasuring LengthsMeasure and Estimate Lengths in Standard UnitsRelate Addition and Subtraction to LengthClassifying and Counting ObjectsTime and MoneyArea Concepts and MeasurementPerimeter and Area MeasuresAngle Concepts and MeasurementTime, Volume, and MassMeasurement Unit ConversionsGeometryIdentifying ShapesShapes and AttributesShape Attributes and ReasoningShapes and CompositionClassifying 2D FiguresGeometric Figures and RelationshipsLines, Angles, and ShapesAngle, Area, and VolumeGeometric MeasurementVolume of 3D ShapesCoordinate Plane ApplicationsTransformations in the PlaneCongruence and SimilarityUnderstand congruence in terms of rigid motionsSimilarity and TransformationsProve Theorems Involving SimilarityPythagorean TheoremTrigonometry for General TrianglesMake Geometric ConstructionsProve Geometric TheoremsTheorems About CirclesFind Arc Lengths And Areas of Sectors of CirclesVolume FormulasRelationships Between Two-Dimensional and Three-Dimensional ObjectsProve Simple Geometric Theorems AlgebraicallyTranslate Between Geometric Description and Equation for Conic SectionApply Geometric Concepts in Modeling SituationsFractions & DecimalsFractions as NumbersBuilding FractionsFraction Equivalence and OrderingAdding and Subtracting FractionsMultiplying and Dividing FractionsDividing FractionsDecimal FractionsMulti-Digit Computation and FactorsAdd, Subtract, Multiply, and Divide Rational NumbersRational Number SystemIrrational Numbers and ApproximationsRatiosRatios and ProportionsProportional RelationshipsUnit RateAlgebraAlgebraic ExpressionsGenerate Equivalent ExpressionsQuantitative RelationshipsProportional Relationships and Linear EquationsEquations and InequalitiesEquation Solving and ReasoningLinear Equations and SystemsGraph Equations and InequalitiesSystems of EquationsReal-World Algebraic ProblemsQuantitative Reasoning with UnitsExpression StructureEquivalent Expression FormsRadicals and Integer ExponentsRational ExponentsRational and Irrational NumbersPolynomial OperationsPolynomial IdentitiesPolynomial Zeros and FactorsRational ExpressionsComplex Number OperationsComplex Numbers in PolynomialsComplex Numbers on PlaneStatistics & ProbabilityRepresent and Interpret DataData DistributionsStatistical VariabilityProbability ModelsCompound Event ProbabilitiesStatistical SamplingInterpret Categorical and Quantitative DataBivariate Data PatternsInterpret Linear ModelsComparing Two PopulationsRandom Processes in StatisticsIndependence and Conditional ProbabilityExpected ValuesProbability-Based Decision MakingStatistical Inference and ConclusionsFunctionsFunction Concepts and NotationDefine and Compare FunctionsInterpret Functions in ContextAnalyze Function RepresentationsModel Relationships with FunctionsIdentify Linear vs Exponential GrowthDistinguish Between Function TypesCompare Growth RatesInterpret Function ExpressionsBuild Functions from RelationshipsConstruct and Model FunctionsTransform and Combine FunctionsModel Comparison and SelectionSolve Exponential EquationsTrigonometryTrigonometric Ratios Involving Right TrianglesTrigonometric Functions and Unit CircleModel with Trigonometric FunctionsTrigonometric IdentitiesVectors & MatricesIntroduction to Vectors and MatricesVector QuantitiesVector OperationsMatrix OperationsCalculusLimits and ContinuityDerivative Concepts and NotationDerivative Rules and TechniquesApplications of DerivativesOptimization ProblemsRelated RatesCurve Sketching and AnalysisIntegration Concepts and NotationAntiderivatives and Indefinite IntegralsDefinite Integrals and AreaFundamental Theorem of CalculusIntegration TechniquesApplications of IntegrationDifferential EquationsSequences and SeriesParametric and Polar FunctionsVector-Valued Functions
Data DistributionsAnalyzes the shape, center, and spread of numerical datasets using histograms, box plots, and dot plots. Examines measures of central tendency and variability to interpret data consistency and skewness.
Statistical VariabilityAnalysis of data spread using range, interquartile range, and mean absolute deviation. Examines how individual data points differ from the center and from each other within a distribution.
Interpret Categorical and Quantitative DataStatistical analysis techniques for summarizing and visualizing numerical and non-numerical data sets. Emphasizes shape, center, spread, and the impact of outliers on data interpretation through dot plots, histograms, and box plots.
Material
Math Blueprint Week 7 Key (NYS Aligned)

Math Blueprint Week 7 Key (NYS Aligned)

Final 5-day answer key for Week 7 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 7 Booklet (NYS Aligned)

Math Blueprint Week 7 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 7. Comprehensive final review. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 6 Key (NYS Aligned)

Math Blueprint Week 6 Key (NYS Aligned)

Final 5-day answer key for Week 6 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 6 Booklet (NYS Aligned)

Math Blueprint Week 6 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 6. Covers multi-step word problems. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 2 Key (NYS Aligned)

Math Blueprint Week 2 Key (NYS Aligned)

Final 5-day answer key for Week 2 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 2 Booklet (NYS Aligned)

Math Blueprint Week 2 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 2. Covers Coordinate Planes, Inequalities, and Composite Area. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 5 Key (NYS Aligned)

Math Blueprint Week 5 Key (NYS Aligned)

Final 5-day answer key for Week 5 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 5 Booklet (NYS Aligned)

Math Blueprint Week 5 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 5. Covers Percents and Coordinate Geometry. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 4 Key (NYS Aligned)

Math Blueprint Week 4 Key (NYS Aligned)

Final 5-day answer key for Week 4 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 4 Booklet (NYS Aligned)

Math Blueprint Week 4 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 4. Covers Decimals, Percents, and Volume. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 3 Key (NYS Aligned)

Math Blueprint Week 3 Key (NYS Aligned)

Final 5-day answer key for Week 3 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 3 Booklet (NYS Aligned)

Math Blueprint Week 3 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 3. Covers Surface Area, GCF/LCM, and Variables. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 1 Key (NYS Aligned)

Math Blueprint Week 1 Key (NYS Aligned)

Final 5-day answer key for Week 1 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 1 Booklet (NYS Aligned)

Math Blueprint Week 1 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 1. Aligned with NYS standards. Covers division, ratios, and area.

AG

Anna Gomez

Other
4/28
Material
Poster Example Visual

Poster Example Visual

A visual example and mockup of a completed 'Evidence Board' poster for Case 202, demonstrating how students should present their visual plot, statistics, verdict, and outlier analysis. Revised for single-page layout.

MK

Michell Kisler

Math Teacher
4/28
Material
Exit Ticket Key

Exit Ticket Key

An answer key for the Distribution Debrief Exit Ticket, providing correct answers and brief pedagogical explanations.

MK

Michell Kisler

Math Teacher
4/28
Material
Distribution Debrief Exit Ticket

Distribution Debrief Exit Ticket

A brief end-of-lesson assessment checking student understanding of how outliers affect mean vs median and when to use specific statistical measures. Two tickets per page for efficient printing. Revised for layout and uniform answer choices.

MK

Michell Kisler

Math Teacher
4/28
Material
Poster Session Guide

Poster Session Guide

A guide for the collaborative poster activity featuring specific case studies for students to analyze and 'peer review' cards for a gallery walk. Revised with larger peer review cards and better layout.

MK

Michell Kisler

Math Teacher
4/28
Material
Case Notes Key

Case Notes Key

An answer key for the Case Notes handout, providing calculations for mean and median and clear explanations of why certain measures are preferred in symmetric vs skewed data. Revised for layout and clarity.

MK

Michell Kisler

Math Teacher
4/28
Material
Case Notes Handout

Case Notes Handout

A student practice worksheet with two real-world scenarios comparing symmetric data to data with an outlier, requiring students to calculate measures and justify their selection. Layout optimized for 8.5x11 printing. Revised for single-page fit.

MK

Michell Kisler

Math Teacher
4/28
Material
Math Blueprint Week 7 Key (NYS Aligned)

Math Blueprint Week 7 Key (NYS Aligned)

Final 5-day answer key for Week 7 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 7 Booklet (NYS Aligned)

Math Blueprint Week 7 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 7. Comprehensive final review. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 6 Key (NYS Aligned)

Math Blueprint Week 6 Key (NYS Aligned)

Final 5-day answer key for Week 6 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 6 Booklet (NYS Aligned)

Math Blueprint Week 6 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 6. Covers multi-step word problems. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 2 Key (NYS Aligned)

Math Blueprint Week 2 Key (NYS Aligned)

Final 5-day answer key for Week 2 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 2 Booklet (NYS Aligned)

Math Blueprint Week 2 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 2. Covers Coordinate Planes, Inequalities, and Composite Area. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 5 Key (NYS Aligned)

Math Blueprint Week 5 Key (NYS Aligned)

Final 5-day answer key for Week 5 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 5 Booklet (NYS Aligned)

Math Blueprint Week 5 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 5. Covers Percents and Coordinate Geometry. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 4 Key (NYS Aligned)

Math Blueprint Week 4 Key (NYS Aligned)

Final 5-day answer key for Week 4 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 4 Booklet (NYS Aligned)

Math Blueprint Week 4 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 4. Covers Decimals, Percents, and Volume. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 3 Key (NYS Aligned)

Math Blueprint Week 3 Key (NYS Aligned)

Final 5-day answer key for Week 3 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 3 Booklet (NYS Aligned)

Math Blueprint Week 3 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 3. Covers Surface Area, GCF/LCM, and Variables. Aligned with NYS standards. 1 day per page.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 1 Key (NYS Aligned)

Math Blueprint Week 1 Key (NYS Aligned)

Final 5-day answer key for Week 1 math review. Aligned with NYS standards.

AG

Anna Gomez

Other
4/28
Material
Math Blueprint Week 1 Booklet (NYS Aligned)

Math Blueprint Week 1 Booklet (NYS Aligned)

Final 5-day student review booklet for Week 1. Aligned with NYS standards. Covers division, ratios, and area.

AG

Anna Gomez

Other
4/28
Material
Poster Example Visual

Poster Example Visual

A visual example and mockup of a completed 'Evidence Board' poster for Case 202, demonstrating how students should present their visual plot, statistics, verdict, and outlier analysis. Revised for single-page layout.

MK

Michell Kisler

Math Teacher
4/28
Material
Exit Ticket Key

Exit Ticket Key

An answer key for the Distribution Debrief Exit Ticket, providing correct answers and brief pedagogical explanations.

MK

Michell Kisler

Math Teacher
4/28
Material
Distribution Debrief Exit Ticket

Distribution Debrief Exit Ticket

A brief end-of-lesson assessment checking student understanding of how outliers affect mean vs median and when to use specific statistical measures. Two tickets per page for efficient printing. Revised for layout and uniform answer choices.

MK

Michell Kisler

Math Teacher
4/28
Material
Poster Session Guide

Poster Session Guide

A guide for the collaborative poster activity featuring specific case studies for students to analyze and 'peer review' cards for a gallery walk. Revised with larger peer review cards and better layout.

MK

Michell Kisler

Math Teacher
4/28
Material
Case Notes Key

Case Notes Key

An answer key for the Case Notes handout, providing calculations for mean and median and clear explanations of why certain measures are preferred in symmetric vs skewed data. Revised for layout and clarity.

MK

Michell Kisler

Math Teacher
4/28
Material
Case Notes Handout

Case Notes Handout

A student practice worksheet with two real-world scenarios comparing symmetric data to data with an outlier, requiring students to calculate measures and justify their selection. Layout optimized for 8.5x11 printing. Revised for single-page fit.

MK

Michell Kisler

Math Teacher
4/28
Material
Data Dash Practice Set

Data Dash Practice Set

Revised 2-page practice set for Week 7. Fixed scatter plot grid Y-axis labels and tick alignment. Darkened handwriting guides and corrected table variable text for better PDF rendering.

AG

Anna Gomez

Other
4/28
Material
Data Dash Warm-Ups

Data Dash Warm-Ups

Polished 2-page Warm-Up for Week 7. Replaced MathJax in body text with standard bold for better PDF compatibility, consolidated layout to fit on two pages, and added guided handwriting lines.

AG

Anna Gomez

Other
4/28
Material
Shape Shifters Practice Set

Shape Shifters Practice Set

Revised 2-page practice set for Week 6. Added grid and numerical labels to coordinate planes, consolidated layout to avoid orphaned headers, and improved shape comparison workspace.

AG

Anna Gomez

Other
4/28
Material
Shape Shifters Warm-Ups

Shape Shifters Warm-Ups

Revised 2-page Warm-Up for Week 6. Fixed overlapping coordinate plane, removed raw markdown asterisks, and consolidated all 5 days onto two pages.

AG

Anna Gomez

Other
4/28
Material
Geometry Gaps Practice Set

Geometry Gaps Practice Set

Revised 2-page practice set for Week 5. Corrected LaTeX rendering for exponents, improved shape comparison workspace, and consolidated Section 2 layout.

AG

Anna Gomez

Other
4/28
Material
Geometry Gaps Warm-Ups

Geometry Gaps Warm-Ups

Revised 2-page Warm-Up for Week 5. Fixed LaTeX rendering issues, consolidated layout to fit all days efficiently, and standardized work area heights.

AG

Anna Gomez

Other
4/28
Material
Power Play Practice Set

Power Play Practice Set

Optimized 2-page practice set for Week 4. Standardized work area heights to fit all content on two pages and improved SVG number line scale and labels.

AG

Anna Gomez

Other
4/28
Material
Power Play Warm-Ups

Power Play Warm-Ups

Revised 2-page Warm-Up for Week 4. Replaced scientific notation with square/cube roots and repeating decimal conversions. Improved pagination and font consistency.

AG

Anna Gomez

Other
4/28
Material
Function Fuel Practice Set

Function Fuel Practice Set

Revised 2-page practice set for Week 3. Improved coordinate plane with numerical labels, corrected font sizes, and consolidated layout.

AG

Anna Gomez

Other
4/28
Material
Function Fuel Warm-Ups

Function Fuel Warm-Ups

Revised 2-page Warm-Up for Week 3. Consolidated layout, fixed overlapping Day 2 elements, and improved work area contrast for better printing.

AG

Anna Gomez

Other
4/28
Material
Linear Landscapes Practice Set

Linear Landscapes Practice Set

Revised 2-page practice set for Week 2. Fixed pagination, added numerical scale to coordinate plane, and improved the layout of word problems.

AG

Anna Gomez

Other
4/28
Material
Linear Landscapes Warm-Ups

Linear Landscapes Warm-Ups

Revised 2-page Warm-Up for Week 2. Fixed pagination, added scale to coordinate plane, and improved the response area for slope identification.

AG

Anna Gomez

Other
4/28
Material
Equation Endurance Practice Set

Equation Endurance Practice Set

Revised 2-page practice set for Week 1. Consolidated layout to avoid orphaned headers and added specific answer lines.

AG

Anna Gomez

Other
4/28
Material
Equation Endurance Warm-Ups

Equation Endurance Warm-Ups

Condensed and polished 2-page Warm-Up for Week 1. Fixed pagination issues and improved work area contrast for printing.

AG

Anna Gomez

Other
4/28
Material
Poster Example Visual

Poster Example Visual

A visual example and mockup of a completed 'Evidence Board' poster for Case 202, demonstrating how students should present their visual plot, statistics, verdict, and outlier analysis. Revised for single-page layout.

MK

Michell Kisler

Math Teacher
4/28
Material
Exit Ticket Key

Exit Ticket Key

An answer key for the Distribution Debrief Exit Ticket, providing correct answers and brief pedagogical explanations.

MK

Michell Kisler

Math Teacher
4/28
Material
Distribution Debrief Exit Ticket

Distribution Debrief Exit Ticket

A brief end-of-lesson assessment checking student understanding of how outliers affect mean vs median and when to use specific statistical measures. Two tickets per page for efficient printing. Revised for layout and uniform answer choices.

MK

Michell Kisler

Math Teacher
4/28
Material
Poster Session Guide

Poster Session Guide

A guide for the collaborative poster activity featuring specific case studies for students to analyze and 'peer review' cards for a gallery walk. Revised with larger peer review cards and better layout.

MK

Michell Kisler

Math Teacher
4/28
Material
Case Notes Key

Case Notes Key

An answer key for the Case Notes handout, providing calculations for mean and median and clear explanations of why certain measures are preferred in symmetric vs skewed data. Revised for layout and clarity.

MK

Michell Kisler

Math Teacher
4/28
Material
Case Notes Handout

Case Notes Handout

A student practice worksheet with two real-world scenarios comparing symmetric data to data with an outlier, requiring students to calculate measures and justify their selection. Layout optimized for 8.5x11 printing. Revised for single-page fit.

MK

Michell Kisler

Math Teacher
4/28